Question

the class levels of 32 students in a physics course are shown below. find the mean, median, and mode of the data, if possible. if any measure cannot be found, explain why. freshman: 3 sophomore: 11 junior: 10 senior: 8 find the mean. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the mean is (type an integer or decimal rounded to one decimal place as needed.) b. the mean cannot be calculated because the sample size is too small. c. the mean cannot be calculated because the data are at the nominal level of measurement. d. the mean cannot be calculated because there are too many sophomores. does the mean represent the center of the data? a. the mean represents the center. b. the mean does not represent the center because it is not a data value. c. the mean does not represent the center because it is the largest data value. d. the mean does not represent the center because it is the smallest data value. e. the data set does not have a mean.

Explanation:

Step1: Recall data - level concept

Nominal - level data are categorical data without any order or numerical value. Class levels (Freshman, Sophomore, Junior, Senior) are nominal - level data.

Step2: Analyze mean calculation

The mean is calculated by summing up numerical values and dividing by the number of data points. Since nominal - level data have no numerical values, we cannot calculate the mean.

Step3: Analyze the center - representation of mean

Since we cannot calculate the mean for nominal - level data, the data set does not have a mean, so it cannot represent the center.

Answer:

1. C. The mean cannot be calculated because the data are at the nominal level of measurement.
2. E. The data set does not have a mean.